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**Q.16. Define inter-quartile range. Ans. **Inter-quartile range is the difference between the third (Q

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(i) It is not based on all the values of the series.

(ii) It is not suitable for further algebraic testing.

(iii) It is affected by fluctuations in sample.

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(i) It is simple to calculate and easy to understand.

(ii) Mean deviation is not affected by extreme values.

(iii) It is based on all the items of the series and hence, is more representative than range or quartile deviation.

Demerits of Mean Deviation

(i) Mean deviation is not capable of any further mathematical treatment.

(ii) Mean deviation suffers from inaccurate results as it ignores algebraic sign in calculation.

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(i) It is based on all the values of series.

(ii) It is least affected by the changes in the sample.

(iii) It is a clear and definite measure of dispersion.

(iv) It is capable of further mathematical treatment.

Demerits of Standard Deviation:

(i) It is a very lengthy and difficult process.

(ii) Since it is calculated with the help of mean, it is affected by extreme values.

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(i) Standard deviation is independent of origin, that is, it is not affected by the constant from which deviations are taken.

(ii) Standard deviation is not independent of scale, that is, if the deviations are divided by a common factor, its value is used in the formula to get the obtain standard deviation.

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52 videos|42 docs

### Standard Deviation (Part - 1)

- Video | 17:04 min
### Standard Deviation (Part - 2)

- Video | 14:54 min
### Standard Deviation (Part - 3)

- Video | 12:35 min
### Variance

- Video | 14:38 min

- Mean Deviation (Part - 2)
- Video | 18:58 min
- Mean Deviation (Part - 1)
- Video | 12:22 min